1670487378840 has 768 divisors, whose sum is σ = 7038392832000. Its totient is φ = 350054369280.

The previous prime is 1670487378797. The next prime is 1670487378841. The reversal of 1670487378840 is 488737840761.

1670487378840 is a `hidden beast` number, since 1 + 6 + 7 + 0 + 487 + 3 + 78 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1670487378841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31143084 + ... + 31196676.

It is an arithmetic number, because the mean of its divisors is an integer number (9164574000).

Almost surely, 2^{1670487378840} is an apocalyptic number.

1670487378840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1670487378840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519196416000).

1670487378840 is an abundant number, since it is smaller than the sum of its proper divisors (5367905453160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1670487378840 is a wasteful number, since it uses less digits than its factorization.

1670487378840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53677 (or 53660 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 1670487378840 in words is "one trillion, six hundred seventy billion, four hundred eighty-seven million, three hundred seventy-eight thousand, eight hundred forty".